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1 point A 10 kilogram object suspended from the end of a vertically hanging spring...

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Calculus

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1 point A 10 kilogram object suspended from the end of a vertically hanging spring stretches the spring 9 8 centimeters At time t 0 the resulting mass spring system is disturbed from its rest state by the force F t 40 cos 81 The force F t is expressed in Newtons and is positive in the downward direction and time is measured in seconds a Determine the spring constant k k b Formulate the initial value problem for y t where y t is the displacement of the object from its equilibrium rest state measured positive in the downward direction Give your answer in terms of y y y t Differential equation Newtons meter Initial conditions y 0 c Solve the initial value problem for y t y t and y 0 help equations help numbers help formulas d Plot the solution and determine the maximum excursion from equilibrium made by the object on the time interval 0 t o If there is no such maximum enter NONE maximum excursion meters help numbers

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